x^2-8x-2=0

Simple and best practice solution for x^2-8x-2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2-8x-2=0 equation: 


Simplifying
x2 + -8x + -2 = 0

Reorder the terms:
-2 + -8x + x2 = 0

Solving
-2 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -8x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -8x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -8x + x2 = 0 + 2
-8x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-8x + x2 = 2

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 2 + 16

Reorder the terms:
16 + -8x + x2 = 2 + 16

Combine like terms: 2 + 16 = 18
16 + -8x + x2 = 18

Factor a perfect square on the left side:
(x + -4)(x + -4) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + -4) equal to 4.242640687 and -4.242640687.


Subproblem 1
x + -4 = 4.242640687

Simplifying
x + -4 = 4.242640687

Reorder the terms:
-4 + x = 4.242640687

Solving
-4 + x = 4.242640687

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + x = 4.242640687 + 4

Combine like terms: -4 + 4 = 0
0 + x = 4.242640687 + 4
x = 4.242640687 + 4

Combine like terms: 4.242640687 + 4 = 8.242640687
x = 8.242640687

Simplifying
x = 8.242640687


Subproblem 2
x + -4 = -4.242640687

Simplifying
x + -4 = -4.242640687

Reorder the terms:
-4 + x = -4.242640687

Solving
-4 + x = -4.242640687

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + x = -4.242640687 + 4

Combine like terms: -4 + 4 = 0
0 + x = -4.242640687 + 4
x = -4.242640687 + 4

Combine like terms: -4.242640687 + 4 = -0.242640687
x = -0.242640687

Simplifying
x = -0.242640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.242640687, -0.242640687}

See similar equations:

| a+2=3+3a | | 6-4x=x-4 | | 8n-(4n+7)=9 | | 5x^2+18x-8=0 | | x+6=-2x+27 | | 5(x-3)+2x=41 | | 6x+2=x+17 | | -10x=120 | | 12x=3(y-3) | | -5x=50 | | 3=7(4-2u)-5 | | 3-7x=-60 | | 5(8x-1)=10x | | -6=-4(-8p+36)-9(5p-24) | | 10+x=7x+22 | | -2c=8+-3c | | (x+.06)x=159 | | 3-7x=60 | | x(x+.06)=159 | | 12x-3=141 | | -6x=-24 | | x+.06x=159 | | 9X+7=25-3 | | 4(4x+7)=124 | | 4m-6=4+3m | | 6x+30=3x+48 | | 4-5x=29 | | -7x+5=4x-72 | | 1-3(y+2)=-32 | | 12x=8x+32 | | 35-3y=26 | | 5+7x=x+47 |

Equations solver categories